Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Deformations of hyperbolic structures

Christos Kourouniotisa1

a1 Department of Pure Mathematics, University of Liverpool, Liverpool L69 3BX

In this paper I shall define a deformation of hyperbolic structures on n-manifolds, called ‘bending’, by constructing a family of quasiconformal homeomorphisms of hyperbolic (n+ l)-space. The deformation can be applied to manifolds which contain totally geodesic submanifolds of codimension 1.

(Received October 17 1984)

(Revised December 13 1984)